How to construct and evaluate a boolean expression using symbols?

11 views (last 30 days)
If I have a boolean expression that is
y = (x1barx2)(x3barx4bar)(x3barx5)
I am currently using a simple 1 and 0 matrix to evaluate this sometimes manually and sometimes in a for a loop. However, it is difficult to do the same for larger expressions. Is there a way that I can evaluate these expressions using symbols like the ones we have poly2sym()? In other words, using and or logical operators and the values of the variables, can I find the answer of any boolean expression without using a for a loop as my expressions should less time to evaluate compared to the other part of the code.

Accepted Answer

Walter Roberson
Walter Roberson on 15 Nov 2020
[X1, X2, X3, X4, X5] = ndgrid([false,true]);
X1bar = ~X1;
X3bar = ~X3;
X4bar = ~X4;
X1barvX2 = X1bar | X2;
X3barvX4bar = X3bar | X4bar;
X3barvX5 = X3bar | X5;
y = (X1barvX2) & (X3barvX4bar) & (X3barvX5);
y_table = [X1(y), X2(y), X3(y), X4(y), X5(y)];
disp(y_table)
0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1

More Answers (0)

Categories

Find more on Symbolic Math Toolbox in Help Center and File Exchange

Tags

Products


Release

R2020b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!